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  2. List of fallacies - Wikipedia

    en.wikipedia.org/wiki/List_of_fallacies

    List of paradoxes. Outline of public relations – Overview of and topical guide to public relations. Map–territory relation – Relationship between an object and a representation of that object (confusing map with territory, menu with meal) Mathematical fallacy – Certain type of mistaken proof.

  3. If and only if - Wikipedia

    en.wikipedia.org/wiki/If_and_only_if

    In logic and related fields such as mathematics and philosophy, " if and only if " (often shortened as " iff ") is paraphrased by the biconditional, a logical connective [ 1 ] between statements. The biconditional is true in two cases, where either both statements are true or both are false. The connective is biconditional (a statement of ...

  4. Formal proof - Wikipedia

    en.wikipedia.org/wiki/Formal_proof

    Formal proof. In logic and mathematics, a formal proof or derivation is a finite sequence of sentences (known as well-formed formulas when relating to formal language), each of which is an axiom, an assumption, or follows from the preceding sentences in the sequence, according to the rule of inference. It differs from a natural language ...

  5. List of valid argument forms - Wikipedia

    en.wikipedia.org/wiki/List_of_valid_argument_forms

    One valid argument form is known as modus ponens, not to be mistaken with modus tollens, which is another valid argument form that has a like-sounding name and structure. Modus ponens (sometimes abbreviated as MP) says that if one thing is true, then another will be. It then states that the first is true. The conclusion is that the second thing ...

  6. Oxymoron - Wikipedia

    en.wikipedia.org/wiki/Oxymoron

    An oxymoron (plurals: oxymorons and oxymora) is a figure of speech that juxtaposes concepts with opposite meanings within a word or in a phrase that is a self-contradiction. As a rhetorical device, an oxymoron illustrates a point to communicate and reveal a paradox. [ 1 ][ 2 ] A general meaning of "contradiction in terms" is recorded by the ...

  7. Fake news - Wikipedia

    en.wikipedia.org/wiki/Fake_news

    Research has found that false political information tends to spread three times faster than other false news. [40] On Twitter, false tweets have a much higher chance of being retweeted than truthful tweets. More so, it is humans who are responsible for disseminating false news and information as opposed to bots and click farms. The tendency for ...

  8. Exception that proves the rule - Wikipedia

    en.wikipedia.org/wiki/Exception_that_proves_the_rule

    The exception proves the rule is a phrase that arises from ignorance, though common to good writers. The original word was preuves, which did not mean proves but tests. [4] In this sense, the phrase does not mean that an exception demonstrates a rule to be true or to exist, but that it tests the rule, thereby proving its value.

  9. Modus ponens - Wikipedia

    en.wikipedia.org/wiki/Modus_ponens

    In propositional logic, modus ponens (/ ˈ m oʊ d ə s ˈ p oʊ n ɛ n z /; MP), also known as modus ponendo ponens (from Latin 'method of putting by placing'), [1] implication elimination, or affirming the antecedent, [2] is a deductive argument form and rule of inference. [3] It can be summarized as "P implies Q. P is true. Therefore, Q must ...